English

WAP Systems and Labeled Subshifts

Dynamical Systems 2016-11-01 v3

Abstract

The main object of this work is to present a powerful method of construction of subshifts which we use chiefly to construct WAP systems with various properties. Among many other applications of this so called labeled subshifts, we obtain examples of null as well as non-null WAP subshifts, WAP subshifts of arbitrary countable (Birkhoff) height, and completely scrambled WAP systems of arbitrary countable height. We also construct LE but not HAE subshifts, and recurrent non-tame subshifts.

Cite

@article{arxiv.1410.4753,
  title  = {WAP Systems and Labeled Subshifts},
  author = {Ethan Akin and Eli Glasner},
  journal= {arXiv preprint arXiv:1410.4753},
  year   = {2016}
}

Comments

A revised version

R2 v1 2026-06-22T06:27:21.383Z